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Human Food

Sam displays cans in 3 triangular stacks. With the same number he could make one large triangular stack or stack them all in a square based pyramid. How many cans are there how were they arranged?

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Sam Again

Here is a collection of puzzles about Sam's shop sent in by club members. Perhaps you can make up more puzzles, find formulas or find general methods.

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Investigate polygons with all the vertices on the lattice points of a grid. For each polygon, work out the area A, the number B of points on the boundary and the number of points (I) inside the polygon. Can you find a formula connecting A, B and I?

Your Number Is...

Age 11 to 14 Challenge Level:

Press the start button and see what happens:

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Now try again starting with a different number.

Try again.

Try starting with a fraction.. or decimal... or negative number...

Why is the answer ALWAYS the same?

Can you design instructions for similar machines of your own?
You may want to take a look at  Your Number Was... for a suitable follow-up activity.